Solving Polynomial Equation Systems Iii: Volume 3, Algebraic Solving Equation Systems Iii: Series Number 15

This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni-Kalkbrener Theorem, Stetter Algorithm, Cardinal-Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.

Info autore

Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.

Riassunto

This third volume of four describes all the most important techniques, mainly based on Gröbner bases. It covers the 'standard' solutions (Gianni–Kalkbrener, Auzinger–Stetter, Cardinal–Mourrain) as well as the more innovative (Lazard–Rouillier, Giusti–Heintz–Pardo). The author also explores the historical background, from Bézout to Macaulay.

Dettagli sul prodotto

• Autori: Teo Mora, Teo (University of Genoa) Mora, Mora Teo
• Editore: Cambridge University Press ELT
• Contenuto: Libro
• Forma del prodotto: Copertina rigida
• Data pubblicazione: 07.08.2015
• Categoria: Libri scolastici > Corsi per adulti / università popolare; Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra
• EAN: 9780521811552
• ISBN: 978-0-521-81155-2
• Numero di pagine: 294
• Serie: Encyclopedia of Mathematics and Its Applications > 157; Encyclopedia of Mathematics and its Applications
• Categorie: Algebra; MATHEMATICS / Algebra / General